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Simplifying 4(3x + 7) = 2(4x + 20) Reorder the terms: 4(7 + 3x) = 2(4x + 20) (7 * 4 + 3x * 4) = 2(4x + 20) (28 + 12x) = 2(4x + 20) Reorder the terms: 28 + 12x = 2(20 + 4x) 28 + 12x = (20 * 2 + 4x * 2) 28 + 12x = (40 + 8x) Solving 28 + 12x = 40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 28 + 12x + -8x = 40 + 8x + -8x Combine like terms: 12x + -8x = 4x 28 + 4x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 28 + 4x = 40 + 0 28 + 4x = 40 Add '-28' to each side of the equation. 28 + -28 + 4x = 40 + -28 Combine like terms: 28 + -28 = 0 0 + 4x = 40 + -28 4x = 40 + -28 Combine like terms: 40 + -28 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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